(a)[1]
Fill in the table.
(b)[3]
Using the grid, sketch the graph of $y=x^3-3x-1$.
(c)[2]
Use the graph to determine the roots of $x^3-3x-1=0$.
(d)[2]
Use the graph to estimate the gradient of the curve at $x=-1.5$.
(e(i))[1]
Using the grid, draw the graph of $y=4x+3$.
(e(ii))[2]
The line $y=4x+3$ and the curve $y=x^3-3x-1$ may be used to solve the equation $x^3=ax+b$. Find the values of $a$ and $b$.
(e(iii))[1]
Use the graph to find one of the negative roots of $x^3=ax+b$.